A wheel of bicycle is rollling without slipping on a level road. The velocity of the centre of mass is v_cm, then true statement is

Consider a system of two particles having masses m₁ and m₂. If the particle of mass m₁ is pushed towards the mass centre of particles through a distance d, by what distance would the particles of mass m₂ move so as to keep the mass centre of the particles at the original position?

A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is k. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be

ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I _AB – I _BC and I _CA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct ?